λ
Prime Ledger

349,086

2 × 3 × 73 × 797
Abundant Even Composite

349,086 has the prime decomposition 2 × 3 × 73 × 797. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 708,624
Proper Divisor Sum 359,538
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #349081 ← → #349093

Radix Representation

Decimal 349086
Binary 1010101001110011110 (19 bits)
Octal 0o1251636
Hexadecimal 0x5539E

Divisor Catalog (16)

1 2 3 6 73 146 219 438 797 1,594 2,391 4,782 58,181 116,362 174,543 349,086

Collatz Trajectory (166 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

349,086 174,543 523,630 261,815 785,446 392,723 1,178,170 589,085 1,767,256 883,628 441,814 220,907 662,722 331,361 994,084 497,042 248,521 745,564 372,782 186,391 559,174 279,587 838,762 419,381 1,258,144 629,072 314,536 157,268 78,634 39,317 117,952 58,976 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

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